Name:_________________________‬ ‭MHF4UE‬ ‭Unit 1 Part 1: Polynomial Functions - Application Task [12 marks]‬ ‭ his is an evaluation that must be completed on your own with no help from tutors, friends or the internet.‬‭To‬ T ‭earn full marks, you must justify your solution. Include the following as needed: Show diagram, Define variables, State‬ ‭formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions,‬ ‭State concluding statement, Use correct notation. No marks are given if your solution includes: e or ln, differentiation,‬ ‭integration.‬ ‭1.‬ ‭Given the polynomial function above, determine each of the following:‬ ‭a.‬ ‭Degree: ______________‬ ‭b.‬ ‭End behaviour‬ ‭[1]‬ ‭As‬‭𝑥 ‬→ + ∞, ‭‬‭𝑦‬→ ‭___________‬ ‭[0.5]‬ ‭As‬‭𝑥 ‬→ − ∞, ‭‬‭𝑦‬→ ‭___________‬ ‭[0.5]‬ ‭c.‬ ‭Exact‬‭equation in factored form. Show your work for‬‭full marks. Do not round. [3]‬ ‭Name:_________________________‬ ‭3‬ ‭MHF4UE‬ ‭2‬ ‭2.‬ ‭Given‬‭𝑓‬(‭𝑥 ‬) = ‭2‬‭𝑥 ‬ + ‭5‬‭𝑥 ‬ − ‭4‬‭𝑥 ‬ − ‭12‬‭, state the following‬ ‭a.‬ ‭Sign of leading coefficient: ______________‬ ‭[0.5]‬ ‭b.‬ ‭Degree: __________‬ ‭[0.5]‬ ‭c.‬ ‭Maximum Number of turning points‬‭based on equation‬‭:‬‭________ [0.5]‬ ‭d.‬ ‭Maximum Number of zeros‬‭based on equation‬‭: ________‬ ‭[0.5]‬ ‭e.‬ ‭End behaviour: As‬‭𝑥 ‬→ + ∞, ‭‬‭𝑦‬→ ‭___________‬ ‭[0.5]‬ ‭As‬‭𝑥 ‬→ − ∞, ‭‬‭𝑦‬→ ‭___________‬ ‭[0.5]‬ ‭f.‬ ‭x- and y-intercept(s) (show your calculations):‬ ‭x-intercept(s): _____________________‬ ‭[3]‬ ‭y-intercept(s): _________________‬ ‭g.‬ S ‭ ketch a possible graph of the function. Be sure‬ ‭to label and number the axis, clearly indicate the‬ ‭intercept(s).‬ ‭Note: the exact location of the local max/min is‬ ‭not required.‬ ‭[1]

Unit 1 A1 Application Task

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